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Simplifying -28 + 3r = 2 + -3(-7r + -2) Reorder the terms: -28 + 3r = 2 + -3(-2 + -7r) -28 + 3r = 2 + (-2 * -3 + -7r * -3) -28 + 3r = 2 + (6 + 21r) Combine like terms: 2 + 6 = 8 -28 + 3r = 8 + 21r Solving -28 + 3r = 8 + 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. -28 + 3r + -21r = 8 + 21r + -21r Combine like terms: 3r + -21r = -18r -28 + -18r = 8 + 21r + -21r Combine like terms: 21r + -21r = 0 -28 + -18r = 8 + 0 -28 + -18r = 8 Add '28' to each side of the equation. -28 + 28 + -18r = 8 + 28 Combine like terms: -28 + 28 = 0 0 + -18r = 8 + 28 -18r = 8 + 28 Combine like terms: 8 + 28 = 36 -18r = 36 Divide each side by '-18'. r = -2 Simplifying r = -2
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